Modal Resolution

Author:

Nalon Cláudia1ORCID,Dixon Clare2ORCID,Hustadt Ullrich2ORCID

Affiliation:

1. University of Brasília, Brasília, DF, Brazil

2. University of Liverpool, Liverpool, UK

Abstract

Resolution-based provers for multimodal normal logics require pruning of the search space for a proof to ameliorate the inherent intractability of the satisfiability problem for such logics. We present a clausal modal-layered hyper-resolution calculus for the basic multimodal logic, which divides the clause set according to the modal level at which clauses occur to reduce the number of possible inferences. We show that the calculus is complete for the logics being considered. We also show that the calculus can be combined with other strategies. In particular, we discuss the completeness of combining modal layering with negative and ordered resolution and provide experimental results comparing the different refinements.

Funder

Engineering and Physical Sciences Research Council

Publisher

Association for Computing Machinery (ACM)

Subject

Computational Mathematics,Logic,General Computer Science,Theoretical Computer Science

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Model Construction for Modal Clauses;Lecture Notes in Computer Science;2024

2. Resolution Calculi for Non-normal Modal Logics;Lecture Notes in Computer Science;2023

3. Buy One Get 14 Free: Evaluating Local Reductions for Modal Logic;Automated Deduction – CADE 29;2023

4. Verifiable autonomy: From theory to applications;AI Communications;2022-09-20

5. Local is Best: Efficient Reductions to Modal Logic K;Journal of Automated Reasoning;2022-05-23

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